b$)$ A causal LTI system is defined by the frequency response

$8$

H$($j$*$omega$)=($j$*$omega $+4)/(6$omega $^2+5$j$*$omega$)$

i$.$ ii$.$ Find the impulse response h$($t$)$ of the System. Find the differential equation representing the system

iii. Find the output of the system for x$($t$)=$ overline e $^(-5$t$)*$ u$($t$)$